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Finding the Third Proportional to 73.33 and 160.18

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Solution

The third proportional to 73.33 and 160.18 is: 349.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.33 : 160.18 = 160.18 : x
  2. Step 2: Convert to fraction form
    73.33/160.18 = 160.18/x
  3. Step 3: Cross multiply
    73.33x = 160.18 × 160.18
  4. Step 4: Simplify right side
    73.33x = 25,657.85
  5. Step 5: Solve for x
    x = 25,657.85/73.33
  6. Step 6: Final answer
    x = 349.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.